Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.

f (x) = square root of x

g (x) = - square root of - 1/2x+3

The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.

Step-by-step explanation:

Since, we are given f (x) = square root x.

The sequence of transformations which transform f (x) into g (x) is given by:

1. Reflection across y-axis i. e. f (x) to f (-x)

2. Horizontal Shrinking i. e. f (-x) to f (-x/2)

3. Horizontal Translation i. e. f (-x/2) to f (-x/2 + 3)

4. Reflection across x-axis i. e. f (-x/2 + 3) to - f (-x/2 + 3).

The step by step graphical representation can also be viewed below.